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The Fock space is an algebraic construction used in quantum mechanics to construct the quantum states space of a variable or unknown number of identical Subatomic particle|particles from a single particle Hilbert space H. It is named after Vladimir Fock|V. A. Fock who first introduced it in his paper Konfigurationsraum und zweite Quantelung. Informally, a Fock space consists of a set of Hilbert spaces representing a zero particle state, a one particle state,a two particle state, and so on. If the identical particles are bosons, the n-particle state is a Symmetric tensor|symmetrized tensor product of n single particle Hilbert spaces H. If the identical particles are fermions, the n-particle state is an Antisymmetric tensor|antisymmetrized tensor product of n single particle Hilbert spaces H. A state in Fock space is a linear combination of states, where each state has a definite number of particles. Technically, the Fock space is (the Hilbert space completion (metric space)|completion...
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